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3423130416 = 243358713499
BaseRepresentation
bin1100110000001000…
…1101001100110000
322211120020001011000
43030002031030300
524002310133131
61323401322000
7150554062026
oct31402151460
98746201130
103423130416
1114a72a4602
127b6496300
13427264074
142468ac716
151507c5ce6
hexcc08d330

3423130416 has 80 divisors (see below), whose sum is σ = 9843120000. Its totient is φ = 1139015232.

The previous prime is 3423130397. The next prime is 3423130423. The reversal of 3423130416 is 6140313243.

3423130416 is a `hidden beast` number, since 342 + 3 + 1 + 304 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3423130416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246835 + ... + 260333.

It is an arithmetic number, because the mean of its divisors is an integer number (123039000).

Almost surely, 23423130416 is an apocalyptic number.

3423130416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560000).

3423130416 is an abundant number, since it is smaller than the sum of its proper divisors (6419989584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3423130416 is a wasteful number, since it uses less digits than its factorization.

3423130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14103 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3423130416 is about 58507.5244391694. The cubic root of 3423130416 is about 1507.0968026426.

Adding to 3423130416 its reverse (6140313243), we get a palindrome (9563443659).

The spelling of 3423130416 in words is "three billion, four hundred twenty-three million, one hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 587 1174 1761 2348 3522 4696 5283 7044 9392 10566 13499 14088 15849 21132 26998 28176 31698 40497 42264 53996 63396 80994 84528 107992 121491 126792 161988 215984 242982 253584 323976 364473 485964 647952 728946 971928 1457892 1943856 2915784 5831568 7923913 15847826 23771739 31695652 47543478 63391304 71315217 95086956 126782608 142630434 190173912 213945651 285260868 380347824 427891302 570521736 855782604 1141043472 1711565208 3423130416